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Finding the Fourth Proportional to 651.66, 976.34 and 342.78

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Solution

The fourth proportional to 651.66, 976.34 and 342.78 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.66 : 976.34 = 342.78 : x
  2. Step 2: Convert to fraction form
    651.66/976.34 = 342.78/x
  3. Step 3: Cross multiply
    651.66x = 976.34 × 342.78
  4. Step 4: Simplify right side
    651.66x = 334,668.11
  5. Step 5: Solve for x
    x = 334,668.11/651.66
  6. Step 6: Final answer
    x = 513.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.